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Finding the Fourth Proportional to 3,448.39, 5,172.55 and 983.22

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Solution

The fourth proportional to 3,448.39, 5,172.55 and 983.22 is: 1,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.39 : 5,172.55 = 983.22 : x
  2. Step 2: Convert to fraction form
    3,448.39/5,172.55 = 983.22/x
  3. Step 3: Cross multiply
    3,448.39x = 5,172.55 × 983.22
  4. Step 4: Simplify right side
    3,448.39x = 5,085,754.61
  5. Step 5: Solve for x
    x = 5,085,754.61/3,448.39
  6. Step 6: Final answer
    x = 1,474.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.